A note on finiteness properties of graphs of groups
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- by Frédéric Haglund and Daniel T. Wise HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 8 (2021), 121-128
Abstract:
We show that if $G$ is of type $\mathcal {F}_n$, and $G$ splits as a finite graph of groups, then the vertex groups are of type $\mathcal {F}_n$ if the edge groups are of type $\mathcal {F}_n$.References
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Additional Information
- Frédéric Haglund
- Affiliation: Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, 91405 Orsay, France
- Email: frederic.haglund@universite-paris-saclay.fr
- Daniel T. Wise
- Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 0B9
- MR Author ID: 604784
- ORCID: 0000-0003-0128-1353
- Email: wise@math.mcgill.ca
- Received by editor(s): May 19, 2020
- Received by editor(s) in revised form: September 14, 2020
- Published electronically: March 23, 2021
- Additional Notes: This research was supported by NSERC
- Communicated by: David Futer
- © Copyright 2021 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 8 (2021), 121-128
- MSC (2020): Primary 20J06, 20E08
- DOI: https://doi.org/10.1090/bproc/81
- MathSciNet review: 4234060